does he start with Y and end with -uzuruhanyu by any chance?

just guessing
You know me too well

and guess what, my hands escaped. So I get to give you my 'inarguable claims for consideration'



and throw my miniature plastic skates in where I can (I don't know pairs well enough so can only say I do rather love Sui/Han and Shen/Zhao)
ID - Torvill and Dean. No ifs buts or maybes.
Women - there's definitely pre and post IJS. Pre, I agree it's Sonja Henie, on medal count and influence at the time (I may now find her pretty well unwatchable and apparently she was a quite unpleasant person, but sports stars being good people is only a recent requirement) though Kwan looms close and is, ironically, probably remembered more. Post, it's Yuna Kim, who was never off the podium in her career, and
made skating in her home country.
And now {deep breath} men. I think it's almost impossible to pick a pre-IJS, there are several who have a valid claim going right back to Gillis Grafström. But (hey, you knew I would say this)
in the current IJS era (and even over the whole), Yuzuru has - and this is just the highlights, folks, wiki shows far more:

59 medals in junior and senior competitions, among them 37 golds, the back to back OGMs, 7 world medals, (along with Jan Hoffman in the 70s, more than any skater in the post-WW2 era), 4 consecutive GPFs (only singles skater to achieve this), 21 medals in international super slam events.

international medals in all 14 figure skating seasons of his junior and senior career and at least one gold in each season with exception of first senior year when he was 15-16

number 1 in men's rankings for five consecutive seasons, the most of any man since 2001-02 season

19 world records, the most in singles skating under IJS, including the 2018 historicals (the +3/-3 GOE System)
and he was the one who broke all three century barriers: 100, 200
and 300

in the men's discipline, the only triple crown (Oly/Worlds/GPF) since Yagudin's, and the first and only career super grand slam (gold in every major slam event) and he was only one 4CC off having all the senior ones twice

the first quad loop, first quad toe-triple Axel sequence, first quad toe-Euler-triple flip combination

30 (count 'em) perfect scores for technical elements and program components, and 50 landed triple Axel jumps with positive GOE in 51 international senior short programs (98% success rate) to 2021
Also, Yuzu's image, especially in the probably-most-iconic-program-of-modern-times Seimei,
is so iconic (including in silhouette) that the media and IJS
still unblushingly use it all the damn time. Then after turning pro he has completed the first (and sellout) solo tours by a figure skater, the greatest and most successful figure skating tours of the IJS era and the single biggest solo show (35,000 plus cinemas plus livestream) of all time and the only one ever bought and still being shown by one of the world's biggest streaming companies. In fact, it's been calculated by academic studies that he has actually
impacted Japan's whole economy and both competitive and post brought significant economic benefits everywhere he skated. And it's not even three years...